A generalized multiple-integral inequality based on free matrices: Application to stability analysis of time-varying delay systems

作者：

Highlights：

• Generalized multiple-integral inequality based on free matrices proposed.

• Generalization in terms of both the integration and bounding orders.

• Additional cross information considered using structured free matrices.

• Proposed generalized multiple-integral inequality guaranteed tight bounds.

• Numerical simulations confirmed improvement in derived stability criterion.

摘要

•Generalized multiple-integral inequality based on free matrices proposed.•Generalization in terms of both the integration and bounding orders.•Additional cross information considered using structured free matrices.•Proposed generalized multiple-integral inequality guaranteed tight bounds.•Numerical simulations confirmed improvement in derived stability criterion.

论文关键词：Time-varying delays,Stability analysis,Free matrices,Lyapunov–Krasovskii functional,Generalized multiple-integral inequality

论文评审过程：Received 2 May 2021, Revised 16 May 2022, Accepted 26 May 2022, Available online 30 May 2022, Version of Record 30 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127288